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Finding the Fourth Proportional to 15,960.17, 22,023.02 and 9,245.75

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Solution

The fourth proportional to 15,960.17, 22,023.02 and 9,245.75 is: 12,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.17 : 22,023.02 = 9,245.75 : x
  2. Step 2: Convert to fraction form
    15,960.17/22,023.02 = 9,245.75/x
  3. Step 3: Cross multiply
    15,960.17x = 22,023.02 × 9,245.75
  4. Step 4: Simplify right side
    15,960.17x = 203,619,250.16
  5. Step 5: Solve for x
    x = 203,619,250.16/15,960.17
  6. Step 6: Final answer
    x = 12,757.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.